12 pack for $3.50 24 pack for $6.00 36 pack for $8.50 48 pack for $11.75 your boss sends you to the store to buy sodas for the break room at work. he tells you to buy the best deal. what is the savings per unit between the best deal and worst deal?

The savings per unit between the best deal and worst deal is about $0.06

Let's learn about the basic formula about Profit and Loss

Let us tackle the problem !

12 pack for $3.50 → 144 pack for  

24 pack for $6.00 → 144 pack for  

36 pack for $8.50 → 144 pack for  

48 pack for $11.75 → 144 pack for  

From information above, we can conclude that:

The Best Deal → 36 pack for $8.50

The Worst Deal → 12 pack for $3.50

The savings per unit between the best deal and worst deal :

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

step-by-step explanation: where's the phrase?

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .